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A comparison of Dodgson's method and the Borda count

Author

Listed:
  • Thomas C. Ratliff

    (Department of Mathematics, Wheaton College, Norton, Massachusetts 02766, USA)

Abstract

In an election without a Condorcet winner, Dodgson's Method is designed to find the candidate that is "closest" to being a Condorcet winner. In this paper, we show that the winner from Dodgson's Method can occur at any position in the ranking obtained from the Borda Count, the plurality method, or any other positional voting procedure. In addition, we demonstrate that Dodgson's Method does not satisfy the Independence of Irrelevant Alternatives axiom.

Suggested Citation

  • Thomas C. Ratliff, 2002. "A comparison of Dodgson's method and the Borda count," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 357-372.
    • Handle: RePEc:spr:joecth:v:20:y:2002:i:2:p:357-372
    Note: Received: January 12, 2001; revised version: June 7, 2001
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    Citations

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    Cited by:

    1. Klamler, Christian, 2004. "The Dodgson ranking and the Borda count: a binary comparison," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 103-108, July.
    2. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2020. "On Some k -scoring Rules for Committee Elections: Agreement and Condorcet Principle," Revue d'économie politique, Dalloz, vol. 130(5), pages 699-725.
    3. Thomas Ratliff & Donald Saari, 2014. "Complexities of electing diverse committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 55-71, June.
    4. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    5. Mekonnen, Addisu D. & Gorsevski, Pece V., 2015. "A web-based participatory GIS (PGIS) for offshore wind farm suitability within Lake Erie, Ohio," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 162-177.
    6. Eckert, Daniel & Klamler, Christian, 2010. "An equity-efficiency trade-off in a geometric approach to committee selection," European Journal of Political Economy, Elsevier, vol. 26(3), pages 386-391, September.

    More about this item

    Keywords

    Voting theory; Dogson's method; Borda count.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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